Analysing weighted networks requires modelling the binary and weighted properties simultaneously. We highlight three approaches for estimating the parameters responsible for them: econometric techniques treating topology as deterministic and statistical techniques either ensemble-averaging parameters or maximising an averaged likelihood over the topological randomness. In homogeneous models, equivalence holds; in heterogeneous network models, the local disorder breaks it, in a way reminiscent of the difference between `quenched' and `annealed' averages in the physics of disordered systems.

翻译：对加权网络的分析需要同时对其二元属性和权重属性进行建模。我们重点介绍了三种用于估计这些参数的方法：将拓扑结构视为确定性的计量经济学技术，以及分别采用系综平均参数或对拓扑随机性平均似然进行最大化的统计技术。在同质模型中，这些方法具有等价性；而在异质网络模型中，局部无序性会破坏这种等价性，其方式令人联想到无序系统物理学中“淬火”平均与“退火”平均之间的区别。